The W state of three two-level atoms, two of which are separated into two initially empty coupling cavities, is considered. The temporal evolution in the entanglement between the atoms, between the cavities, as well as between the atom and the local cavity mode is numerically studied. Through comparing the results if a direct selective measurement is performed or not, the influences of state-selective measurement of the atom outside cavities on entanglement are investigated. The influences of cavity-cavity coupling coefficient on the entanglement is also investigated. The results show that the entanglement can be strengthened through the state-selective measurement on the atom outside the cavities.